High Energy Physics - Theory

Title:A Lorentzian version of the non-commutative geometry of the standard model of particle physics

Abstract: A formulation of the non-commutative geometry for the standard model of
particle physics with a Lorentzian signature metric is presented. The
elimination of the fermion doubling in the Lorentzian case is achieved by a
modification of Connes' internal space geometry so that it has signature 6 (mod
8) rather than 0. The fermionic part of the Connes-Chamseddine spectral action
can be formulated, and it is shown that it allows an extension with
right-handed neutrinos and the correct mass terms for the see-saw mechanism of
neutrino mass generation.